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2 years ago

1) Find the value of x. Round to the nearest tenth.

Mathematics

1 answer:

sesenic [268]2 years ago

4 0

Answer:

x ≈ 12.9

Step-by-step explanation:

Using the tangent ratio in the right triangle

tan35° = $\frac{opposite}{adjacent}$ = $\frac{9}{x}$ ( multiply both sides by x )

x × tan35° = 9 ( divide both sides by tan35° )

x = $\frac{9}{tan35}$ ≈ 12.9 ( to the nearest tenth )

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3 years ago

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Urgent! Will award brainliest...<br> Factor the following polynomial:<br> <img src="https://tex.z-dn.net/?f=3a%5E%7B2%7D-21a%2B3

umka2103 [35]

Answer:

$3 (a-2) (a-5)$

Step-by-step explanation:

The first step is to find the GCF. Here, it's 3.

$3(a^2-7a+10)$

Then, you factor the polynomial in the parenthesis.

To find the factors, you will need to find 2 numbers that add to -7, and multiply to 10. -2 and -5 add to -7 and multiply to 10. Now, replace -7a with the factors.

$a^2-2a-5a+10$

This of this polynomial as 2 problems.

$a^2-2a$ $-5a+10$

Then, factor again.

$a^2-2a$ $-5a+10$

$a(a-2)$ $-5(a-5)$

Then, you keep the factors in parenthesis, and combine the numbers on the outside.

$(a-2)(a-5)(a-5)$

Since, there are 2 of the same factor, you only need one.

$(a-2)(a-5)$

BUT REMEMBER!! In the very beginning, we had a 3 that we took out, we STILL need to add that to the final answer. The <u>final answer</u> is:

$3 (a-2) (a-5)$

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2 years ago

The price of a bus ride rose from $2 to $2.50. If you graphed the function f(x)= the cost of x bus rides, how would the graph ch

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the line will rise more sharply than before, the slope is steeper, increased from the 2 to 2.5.

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2 years ago

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Genrish500 [490]

Answer:

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Step-by-step explanation:

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3 years ago

P and Q are two points on the line x - y + 1 = 0 and are at distance 5 from the origin. Find the area of the triangle OPQ.

Alecsey [184]

Answer:

P and Q are two points on the line x-y+1=0 and are at a distant of 5 units from the origin. Find the area of triangle POQ.

Step-by-step explanation:

P and Q are the intersection points of

x-y+1 = 0 and the circle x^2 + y^2 = 25

sub y = x+1 into the circle

x^2 + (x+1)^2 = 25

x^2 + x^2 + 2x + 1 - 25 = 0

x^2 + x - 12 = 0

(x+4)(x-3) = 0

x = 3 or x = -4

y = 4 or y = -3

so P(3,4) and Q(-4,3) are our two points

Height of triangle.

h = |0 - 0 + 1|/√2 = 1/√2

PQ = √( (-7)^2 + 1^2) = √50 = 5√2

area POQ = (1/2)(1/√2)(5√2) = 5/2 square units

hope this helped

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2 years ago